000 01905nam a22002655i 4500
999 _c29710
_d29710
003 CUTN
005 20190819141743.0
008 180220s2018 nyu 000 0 eng
020 _a9783319778327
020 _a9781493976270
041 _aEnglish
042 _apcc
082 _a515.984
_bAND
100 1 _aAndrews, George E.
245 1 0 _aRamanujan's lost notebook(Part IV) /
_cGeorge E. Andrews.
260 _aNew York :
_bSpringer,
_c©2013.
300 _apages cm
505 _t1. Introduction --
_t2. Double series of Bessel functions and the circle and divisor problems --
_t3. Koshliakov's formula and Guinand's formula --
_t4. Theorems featuring the gamma function --
_t5. Hypergeometric series --
_t6. Two partial manuscripts on Euler's constant y --
_t7. Problems in diophantine approximation --
_t8. Number theory --
_t9. Divisor sums --
_t10. Identities related to the Riemann zeta function and periodic zeta functions --
_t11. Two partial unpublished manuscripts on sums involving primes --
_t12. An unpublished manuscript of Ramanujan on infinite series identities --
_t13. A partial manuscript on Fourier and Laplace transforms --
_t14. Integral analogues of theta functions and Gauss sums -- 15. Functional equations for products of Mellin transforms -- 16. A preliminary version of Ramanujan's paper "On the product [mathematical equation]" -- 17. A preliminary version of Ramanujan's paper "On the integral [mathematical equation]" -- 18. A partial manuscript connected with Ramanujan's paper "Some definite integrals" -- 19. Miscellaneous results in analysis -- 20. Elementary results -- 21. A strange, enigmatic partial manuscript.
650 _aMathematicians -- India -- Biography.
650 _aMathematical analysis.
942 _2ddc
_cBOOKS
263 _a1804
906 _a0
_bibc
_corignew
_d2
_eepcn
_f20
_gy-gencatlg